Lindstedt Poincaré technique applied to molecular potentials

DOI10.1007/s10910-012-9978-9zbMath1381.34053OpenAlexW2043015262MaRDI QIDQ454296

Shayak Bhattacharjee, Jayanta K. Bhattacharjee

Publication date: 1 October 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-9978-9

zbMATH Keywords

asymptotic analysisLennard-Jones potentialMorse potentialBohr-Sommerfeld quantizationLindstedt-Poincaré perturbation theorymolecular potentials

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

• Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. I: Expansion of a constant
• Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method
• The Lindstedt--Poincaré Technique as an Algorithm for Computing Periodic Orbits
• Improved Lindstedt–Poincaré method for the solution of nonlinear problems
• Application of the homotopy perturbation method to the nonlinear pendulum
• Classical Dynamics

This page was built for publication: Lindstedt Poincaré technique applied to molecular potentials